Algebra 1 Practice Test Flashcards

Use substitution to solve: 3x-3y=3 and x-5y=-3. What are the values of X and Y?

Find the weighted average of 75, 80, 88, and 93 with weights 1, 2, 3, and 4 respectively.

Write 2310 as a product of prime factors.

Simplify the expression: 1/(X+Y) divided by A/B.

Use elimination to solve: 2x+2y=14 and 3x-2y=-4. What are the values of X and Y?

If F(x)=(x)(-x), find F(3).

Solve the expression: - (1 - 2). What is the result?

Solve the expression: -2[(-3-2)-2(-2+m)]=-3m-4^2-|-2|. What do you get?

Solve the expression: (ay + bz) / X1. What is the result with all exponents positive?

Multiply the expression: (2x-4)(x-3). What is the result?

Factor the expression: x^2 + 9x + 20. What is the factorized form?

What do you get when you factor the expression x^2 + x - 30?

What is the value of (-2)^-2?

Substitution and Elimination in Systems of Equations

Substitution method for solving the equations: 3x - 3y = 3 and x - 5y = -3 results in x = 2 and y = 1.
Elimination method applied to the equations: 2x + 2y = 14 and 3x - 2y = -4 yields x = 2 and y = 5.

Weighted Average Calculation

Weighted average calculated using scores (75, 80, 88, 93) with weights (1, 2, 3, 4) results in an overall average of 87.1.

Prime Factorization

Prime factors of 2310 include: 2, 3, 5, 7, and 11.

Simplification of Rational Expressions

The expression 1/(x+y) divided by A/B simplifies to B/(Ax + Ay).

Function Evaluation

Evaluating the function F(x) = x(-x) at x = 3 gives F(3) = -9.

Basic Arithmetic Operations

The solution to -(1 - 2) is -1 + 2, which simplifies to 1.

Solving Complex Equations

The equation -2[(-3 - 2) - 2(-2 + m)] = -3m - 4^2 - |-2| simplifies to -20/7.

Expression Simplification with Positive Exponents

The rational expression (ay + bz) / (x^1) simplified with positive exponents results in (ay + bzx) / x.

Polynomial Multiplication

The product of (2x - 4)(x - 3) expands to 2x² - 10x + 12.

Factoring Quadratic Expressions

The quadratic x² + 9x + 20 can be factored to (x + 5)(x + 4).

Solving Quadratics

The equation x² + x - 30 is deemed impossible to factor or solve with real numbers.

Negative Exponents

The calculation of (-2)^-2 simplifies to 1/4, indicating the reciprocal of the base squared.

This quiz includes a series of flashcards covering various Algebra 1 concepts such as solving equations using substitution and elimination, calculating weighted averages, and simplifying expressions. Test your skills and knowledge to prepare for your Algebra class!